• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.407-416
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• 2023

In this paper, we introduce the concept of C^*-algebra-valued quasi b-metric space and prove some existence and uniqueness theorems. Furthermore, we prove the Hyers-Ulam stability results for fixed point problems via C^*-algebra-valued extended quasi b-metric space.

• Korean Journal of Mathematics
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• 제25권4호
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• pp.495-511
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• 2017

In this paper, we consider the system of three elliptic equations using two critical point theorem. We prove the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with eigenvalues of the operator.

• Kyungpook Mathematical Journal
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• 제55권4호
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• pp.773-777
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• 2015

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

• 충청수학회지
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• 제23권4호
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• pp.645-656
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• 2010

In this paper, we prove a common fixed point theorem for four mappings on fuzzy 2-metric spaces. Our result is an extension of results of S. H. Cho [2] to fuzzy 2-metric spaces. Also, it is a generalization of a result of S. Sharma [11].

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권4호
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• pp.545-556
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• 2008

삼각형은 가장 단순한 기하학적 도형이지만, 기하학 탐구에서 삼각형은 훌륭한 연구 대상이며 후속적인 기하학 연구의 중요한 도구라고 할 수 있다. 본 연구에서는 지렛대 원리를 이용하여 삼각형의 Gergonne 점과 Gergonne 점의 딸림점들의 존재성, Gergonne 점에 관련된 등식을 증명하였고, Gergonne 점의 딸림점들에 대한 새로운 등식을 증명하였다.

• 충청수학회지
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• 제4권1호
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• pp.39-44
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• 1991

In this note, we shall prove a new variational inequality in non-compact sets and as an application, we prove a generalization of the Schauder-Tychonoff fixed point theorem.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.417-427
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• 2023

The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings.

• Korean Journal of Mathematics
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• 제31권4호
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• pp.391-403
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• 2023

In this work, we establish common fixed point results by utilizing a variant of F-contraction in the framework of C^*-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.

• Journal of applied mathematics & informatics
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• 제4권2호
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• pp.573-581
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• 1997

In this paper we prove a weak common fixed point theo-rem in a normed almost linear space which is different from the result of S. P. Singh and B.A. Meade [9]. However for a Banach X our theorem is equal to the result of S. P. Singh and B. A. Meade.

• 대한수학회보
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• 제34권4호
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• pp.525-533
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• 1997

We analysis spectral subspaces of $C^*$-algebras for a compacr group action. And we prove the condition that the fixed point algebra of the product action is the tensor product of the fixed point algebras.